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人気のある微分積分 >

(1+ln(x)+y/x)dx=(5-ln(x))dy

解

(1 + ln (x) + \frac{y}{x}) d x = (5 - ln (x)) d y

解

y = \frac{x ln ( x )}{5 - ln ( x )} + \frac{c _{1}}{5 - ln ( x )}

解答ステップ

(1 + ln (x) + \frac{y}{x}) d x = (5 - ln (x)) d y

線形 ODE を解く:

y = \frac{x ln ( x )}{5 - ln ( x )} + \frac{c _{1}}{5 - ln ( x )}

y = \frac{x ln ( x )}{5 - ln ( x )} + \frac{c _{1}}{5 - ln ( x )}

グラフ

人気の例

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